Answer:
p=2
Step-by-step explanation:
8n + 16 = 8n + 8p
subtract 8n
16=8p
divide both sides by 8
p = 2
To find the value of p that sets the expression equal to each other:
⇒ must set both equations equal to each other, like such:
[tex]8(n+2)=(n+p)8\\8n+16=8n+8p\\8n+16-8n=8p\\16=8p\\8p=16\\p=2[/tex]
Thus the value of p so that the expression 8(n + 2) is equivalent to (n + p)8 is 2
Answer: 2
Hope that helps!
factor the following expression
[tex]16x^{2} - 25[/tex]
[tex]16x^2-25\\\\=(4x)^2-5^2\\\\=(4x+5)(4x-5)[/tex]
Carlos answered 122 questions correctly on his multiple choice science final and earned a grade of 61%. How many total questions were on the final exam?
PLEASE ANSWER QUICKLY Which of the following is the correct graph of the compound inequality 4p + 1 > -15 and 6p + 3 < 45?
o
7
-7 -6 -5
-3 -2 -1
0
1
2
3
4
5
6
8
9 10 11
O
-7 -6 -5 -4
O
7
-3 -2 -1
0
1
2
3
4
5
6
8
9 10 11
-7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9 10 11
- 7 -6 -5 -4 -3 -2 -1
0 1 2
3
4
5
6
7
8
9 10 11
Answer:
abce
Step-by-step explanation
correct
Raina is mailing packages. Each small package costs her 2.30 to send. Each large package costs her 4.10 . How much will it cost her to send 7 small packages and 4 large packages?
Answer:
32.5
Step-by-step explanation:
Take the 2.30 and multiply it by 7. Then take 4.10 and multiply it by 4. From there you add the answers together.
Find the equation of
the line that cuts through (0, 5) and (1, 2)?
a. y=-3x+5
C.
y =-57+3
b. y = 3x+5
d.
Y=--X+3
Please select the best answer from the choices provided
In how many ways can 6 policemen be assigned to 12 coaches of a passenger train if he must ride in a different coach
Answer:
665280
Step-by-step explanation:
12x11x10x9x8x7=665280
There are 665280 ways in which 6 policemen can be appointed in 12 coaches of a passenger train if they are to ride in a separate coach.
What is Probability?Probability is defined as the branch of mathematics that deals with the numerical description of how likely an event is to occur, or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, roughly where 0 indicates the improbability of the event and 1 indicates certainty.
It is based on the probable probability of something happening while the theoretical probability is based on the logic behind the probability. For example, if a coin is tossed, the theoretical probability of getting a head is ½.
In above example,
There are 6 policemen
Number of coaches assigned are 12
So, the number of ways are 12x11x10x9x8x7=665280 ways
Thus, there are 665280 ways in which 6 policemen can be appointed in 12 coaches of a passenger train if they are to ride in a separate coach.
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Solve for m. Please Help!
Answer:
m = 39°
Step-by-step explanation:
angles on the circumference of the circle subtended by the same arc are congruent.
∠ BDC = ∠ BAC = 33° ( both subtended by arc BC )
then ∠ ADC = 36° + 33° = 69°
Opposite angles of a cyclic quadrilateral sum to 180° , so
∠ ABC = 180° - 69° = 111°
then
m + 72° = 111° ( subtract 72° from both sides )
m = 39°
if x=15 degrees and the measure of Arc YZ is 3 centimeters, what is the circumference of the circle?
A- 24
B- 45
C- 60
D- 72
The circumference of the circle is 72cm.
Arc length formula[tex]Arc length = 2\pi r(\frac{x}{360} )[/tex]
where
r is the radius of the circle
x is the central angle of the arc
Circumference of the circleCircumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. It is calculated as
circumference of the circle = 2πr
According to the given question we have
central angle of the arc, x = 15 degrees
Arc length = 3 cm
Let r be the radius of the given circle.
Then,
Arc length = 2πr[tex](\frac{15}{360} )[/tex]
⇒ 3 ×[tex]\frac{360}{15}[/tex] = circumference of the circle ( circumference or circle =2πr)
⇒ circumference of the circle = 72 cm
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Which set of coordinates represents the reflection of the following image over the y–axis?
A
(–6 , 2), (–4 , 8), (–2 , 2)
B
(6 , 2), (4 , 8), (2 , 2)
C
(–6 , –2), (–4 , –8), (–2 , –2)
D
(–2 , 2), (0 , 8), (2 , 2)
Answer:
B. (6,2), (4,8), (2,2)
Step-by-step explanation:
When it reflects over the y-axis (the vertical line) it is going to look the exact same just in the box on the top right. Instead of negatives in the coordinate points they are going to be positive. The only one that does this is B.
Ans: B. (6,2), (4,8), (2,2)
Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine! Payton is overcome with emotion and needs your help to save her dog. You can repel down and successfully rescue Willow, but you must calculate how much rope is needed.
The ravine is 153 feet deep the repel line will be the diagonal distance from the top of the ravine to Willow The anchor and repel line form a 35 degree angle; this is angle A in the image below.
(a) Calculate the length of the repel line using one of the 3 trigonometry ratios taught (sin, cos, tan) Round your answer to the nearest whole number. Show all needed math for calculating this length.
The length of the repel line using one of the 3 trigonometry ratios will be 186.78 feet.
How to calculate the length?From the information given, Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine.
The length will be calculated thus:
Cos 35° = 153/AC.
AC = 153/cos 35°
AC = 153/0.819
AC = 186.78 feet.
Therefore, the length is 186.78 feet.
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(t divide 3) + 1= 5 + 1
Answer:
t=15
Step-by-step explanation:
t/3 + 3/3 = 6
combine fractions w/ common denominator:
t+3/3 = 6
multiply both sides by denominator (3):
note: the two threes from 3 x t+3/3 cancel each other out
t+3=3x6
t+3=18
subtract 3 from both sides and you get 15
t=15
hope this helps :)
Find the approximate volume of the cone.
o 1,017.4 cm
226.08 cm
o 324 cm
Answer:
~ 1017.4
Step-by-step explanation:
volume of a cone 1/3 pi r^2 h
1/3 pi * 9^2 * 12 = 1017.8
write 1 1/3 as a percent
Answer:
1.3
Step-by-step explanation:
⅓ put into to decimal form is a repeating decimal
Answer:
133.3333333%
Step-by-step explanation:
1 = 1.00 = 100%
1/3 = 0.3333333 = 33.33333333%
Note that the extra 3s are for repeating decimals.
Question 6 of 10
What is the slope of the line shown below?
6.9)
O A
7
O B.
OB
O c. /
OD.
ON
5
15
7
5
0.-5)
Slope = change in y / change in x
slope = (9 - -5) / ( 6-0)
Slope = 14/6
Divide by 2
Slope = 7/3
Answer: B. 7/3
I need help with this PLSSSSS
Answer:
A) The
B) Curious
C) Young
D) Science
E) Student
F) Who
G) Sat
H) Up
I) All
J) Night
K) Trying
L) To
M) Figure
N) Out
O) Where
P) The
Q) Sun
R) Goes
S) Until
T) It
U) Finally
V) Dawned
W) On
X) Him
During which decade did an economic boom and bust occur in the united states? 1900s 1910s 1920s 1930s
An economic boom and bust occurred in the United States during the 1920s, which is also known as the Roaring Twenties.
When the economic boom in the united states took place?This period was marked by a significant increase in consumer spending, economic growth, and technological innovation, particularly in the areas of automobiles, radio, and electricity. However, the boom came to an abrupt end with the stock market crash of 1929, which triggered the Great Depression of the 1930s.
The economic boom of the 1920s in the United States was a period of rapid economic growth and expansion, characterized by a surge in consumer spending, increased industrial production, and the expansion of credit. This period was fueled by a number of factors, including technological innovation, such as the widespread adoption of the automobile and the growth of the aviation industry, as well as the widespread availability of electricity.
The 1920s also saw significant changes in the social and cultural landscape of the United States, with the rise of a new consumer culture that emphasized leisure and entertainment. The entertainment industry grew rapidly during this time, with the rise of radio broadcasting and the popularity of Hollywood films.
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Shaniece was given a large box of 48 chocolates for her birthday. If she eats exactly 3 chocolates each day, how many chocolates would Shaniece have remaining 5 days after her birthday?
Answer:
33 chocolates
Step-by-step explanation:
3 chocolates times 5 days = 15 chocolates
48 chocolates minus 15 chocolates = 33 chocolates
will give brainliest, thanks in advance!!
Answer:
-3+15i
Step-by-step explanation:
Apply complex arithmetic rule: [tex]\left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i[/tex]
[tex]\left(-3\cdot \:3-3\left(-2\right)\right)+\left(-3\left(-2\right)+3\cdot \:3\right)i[/tex]
-3 * 3 -3 (-2) = -3
[tex]-3+15i[/tex]
For f(x)= 2x + 1 and g(x) = x^2 - 7, find (f+g)(x).
Answer:
x^2+2x-6, or C
Step-by-step explanation:
We want to combine the values of both f(x) and g(x) into one equation.
We could write this as 2x+1+x^2-7
Simplified- x^2+2x-6, or C
What is the value of the expression
below when a
8, b = 16, and c = -4 ?
Answer:
35
Step-by-step explanation:
5*³√8-（-4）*√16+9=5*2+4*4+9=35
Given that f(x) = 3x + 3 and g(x)=x2- 2x-5, find (g of)(4).
(gof)(4)=0
(Simplify your answer. )
Answer:
-5=0
Step-by-step explanation:
g(4)=8-8-5=-5 you substitute 4 into x
-5=0
Two shops sell the same brand of baked beans but in different sizes of tin.
Calculate the price of 1 kg of baked beans for each shop.
Give your answers in pence.
Write the shop which is better value in the comment box.
Shop A
Shop B
BAKED
BEANS
BAKED
BEANS
5kg for £5.75
2kg for £2.12
Answer:
Step-by-step explanation:
shop a=115p
shop b=106p
shop b better value as its cheaper
In terms of π, what is the volume of the sphere?
[tex]v = \frac{4}{3} \pi \: {r}^{3} \\ [/tex]
[tex]v = \frac{4}{3} \times \pi \times ({ \frac{60}{2} })^{3} \\ [/tex]
[tex]v = \frac{4}{3} \times \pi \times {30}^{3} \\ [/tex]
[tex]v = \frac{27000 \times 4}{3} \pi \\ [/tex]
[tex]v = 900 \times 4\pi[/tex]
[tex]v = 3600\pi \: \: \: {ft}^{3} [/tex]
Need help with 7 and 8
Answer:
see explanation
Step-by-step explanation:
The tangent segments are equal so you set them equal to each other and solve.
7) 3x-6 = x + 10 8) 4x + 2 = 2x + 8
m∠A= 81∘; m∠B = 109∘ Are the two angles complementary, supplementary, or neither?
Answer:
neither
Step-by-step explanation:
complementary means the angles should add up to 90∘ but here in this case they add up to 190.
Supplementary means the angles add up to 180∘ but again in this case they don't.
which means the answer only has one choice.
Multiply out and simplify (2x-3)(4-5x+x^2)
Step-by-step explanation:
reference attachment ..............
slove for x 10(2x-4)=100x A.x=7 B.x=3 C.x=1/2 D.x=-1/2
Answer:
The answer is D. x=-1/2
Step-by-step explanation:
multiply the parantheses by 10 that'll give us 20x-40=100x2. move terms, that'll give us 20x-100x=403. subtract 100x from 20x, that'll give us -80x=404. divide both sides by -80, which is x=-1/2Answer:
D. x = -1/2Step-by-step explanation:
10(2x - 4) = 100x1. Divide both sides by 10.
10/10 (2x - 4) = 100x/102x - 4 = 10x2. Add 4 to both sides.
2x - 4 +4 = 10x + 42x = 10x + 43. Subtract 10x from both sides.
2x - 10x = 10x + 4 - 10x-8x = 44. Divide both sides by -8.
-8x/-8 = 4/-8x = -1/2The answer is D.
At Ashley Furniture Store, there is a marble table that you want to
purchase for your mother. The length of the table is (-8x+2) and the width
of your rug is (3x-4). What is the total area of the table? Solve the
problem using the best method. Write the answer as a trinomial.
Step-by-step explanation:
in my opinion
total area = the width × the length
= (3x-4)(-8x+2)
= -24x²+6x+32x -8
= -24x² + 38x -8
Determine the equation of the circle graphed below.
10
8
-10 -8
8
-6
-2
F
4
2
N
T
-6.
2
10
Answer:
[tex] = > {x}^{2} + {y}^{2} + 6x - 14y + 49 = 0[/tex]
Step-by-step explanation:
From the graph we can see that
Diameter = 6 units
=> Radius = 3 units and centre is at (-3,7)
=> Equation is Circle with centre (-3,7) and radius of 3 units will be
[tex] = > {(x + 3)}^{2} + {(y - 7)}^{2} = {3}^{2} [/tex]
[tex] = > ( {x}^{2} + 6x + 9) + ( {y}^{2} - 14y + 49) = 9[/tex]
[tex] = > {x}^{2} + {y}^{2} + 6x - 14y + 49 = 0[/tex]
-
(3/4)+1 7/8 divided by 1/2 =n
Answer:
n=1.3125/ if the (3/4) was negative the anwser would be -1.3125
Step-by-step explanation:
Answer:
n = [tex]5\frac{1}{4}[/tex]
----------------------------------------------------------------------------------------------------------
First, evaluate 3/4 + 1 7/8 without including whole numbers for now.[tex]3/4 + 7/8 =~?[/tex]
When dealing with unequal fraction denominators, find the greatest common factor of both numbers to make the denominators match.
[tex]GCF(3,4) = 2\\GCF(7, 8) = 1\\\\\frac{3 * 2}{4 * 2} = \frac{6}{8}\\\\\frac{7 * 1}{8 * 1} = \frac{7}{8}[/tex]
Next, add these two numbers together.
[tex]\frac{6}{8} + \frac{7}{8} = \frac{13}{8}[/tex]
Oh no! It looks like we have an improper fraction. To solve this, count each time the numerator passes the denominator and count that as a whole number. Like 9/8 is 1 1/8 because the numerator went over the denominator 1 time, counting the extra unit fraction.
[tex]\frac{13}{8} = 1\frac{5}{8}[/tex]
Now, add the whole numbers.
[tex]1 + 1 + \frac{5}{8} = 2\frac{5}{8}[/tex]
Last not not least, divide by one half. Since 2 5/8 is equal to 21/8, convert it to this fraction.
[tex]\frac{21}{8} / \frac{1}{2}[/tex]
Use the 2 in 1/2 and the 1 in 1/2, then multiply 2 by 21, and 8 by 1
[tex]\frac{21*2}{8*1} = \frac{42}{8}[/tex]
Finally, simplify 42/8
if 8 × 5 is 40 you can tell the number will be close to 40
[tex]\frac{42}{8} = 5\frac{1}{4}[/tex]
That said, the answer is [tex]\frac{42}{8}[/tex] and also [tex]5\frac{1}{4}[/tex]